16.32 is what percent of 17.46 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.46 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 17.46, so we can write it down as 100%=17.46.
4. We know, that x% equals 16.32 of the output value, so we can write it down as x%=16.32.
5. Now we have two simple equations:
1) 100%=17.46
2) x%=16.32
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=17.46/16.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.32 is what percent of 17.46

100%/x%=17.46/16.32
(100/x)*x=(17.46/16.32)*x       - we multiply both sides of the equation by x
100=1.0698529411765*x       - we divide both sides of the equation by (1.0698529411765) to get x
100/1.0698529411765=x
93.470790378007=x
x=93.470790378007

now we have:
16.32 is 93.470790378007% of 17.46